Given numbers are 786,402,360,452

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 786,402,360,452 is 357048360.

Find LCM of 786,402,360,452 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 131 x 67 x 30 x 113 = 357048360

Therefore, the lowest common multiple of 786,402,360,452 is 357048360.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

786 x 402 x 360 x 452 = 51414963840

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

786 : 1, 2, 3, 6, 131, 262, 393, 786

402 : 1, 2, 3, 6, 67, 134, 201, 402

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,402,360,452, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

402:2x 3x 67

360:2x 2x 2x 3x 3x 5

452:2x 2x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 51414963840/(2x72)

LCM = 51414963840/144

LCM = 357048360

Thus, we can understand that the LCM of 786,402,360,452 is 357048360.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 484, 916, 335, 698
• LCM of 149, 792, 860, 107
• LCM of 382, 808, 771, 995
• LCM of 586, 572, 823, 638
• LCM of 221, 761, 222, 993

1. What is the LCM of 786, 402, 360, 452?

Answer: LCM of 786, 402, 360, 452 is 357048360.

2. How to calculate the LCM of 786, 402, 360, 452?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 786, 402, 360, 452.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.